71513878380013 has 2 divisors, whose sum is σ = 71513878380014. Its totient is φ = 71513878380012.

The previous prime is 71513878379989. The next prime is 71513878380017. The reversal of 71513878380013 is 31008387831517.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59723019556489 + 11790858823524 = 7728067^2 + 3433782^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71513878380013 is a prime.

It is a super-2 number, since 2×71513878380013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71513878380017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35756939190006 + 35756939190007.

It is an arithmetic number, because the mean of its divisors is an integer number (35756939190007).

Almost surely, 2^{71513878380013} is an apocalyptic number.

It is an amenable number.

71513878380013 is a deficient number, since it is larger than the sum of its proper divisors (1).

71513878380013 is an equidigital number, since it uses as much as digits as its factorization.

71513878380013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 71513878380013 in words is "seventy-one trillion, five hundred thirteen billion, eight hundred seventy-eight million, three hundred eighty thousand, thirteen".